The Effects of Thermal Stratification on Flow Past an Infinite Vertical Plate in Presence of Chemical Reaction

Keywords: Thermal Stratification, Chemical Reaction, Heat and Mass Transfer, Vertical Plate


This study examines how thermal stratification affect the movement of a fluid in presence of first order chemical reaction past an infinite vertical plate. To solve the non-dimensional governing equations in closed form for Pr = 1, the Laplace’s transform system is applied. Significant findings resulting from stratification are compared to the case of no stratification. The effects of many parameters, including S, K, Gr, Gc, Sc and time on velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number are explored and graphically displayed. It is shown that the steady state is attained at shorter times as a result of the application of stratification on the flow.


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M. Abramowitz and IA Stegun. Handbook of mathematical functions with Formulas, Graphs, and Mathematical Tables” edited by Dover Publications. Inc., New York, Ninth Printing, 1970.

E. Magyari, I. Pop, and B. Keller, ”Unsteady Free Convection along an Infinite Vertical Flat Plate Embedded in a Stably Stratified Fluid-Saturated Porous Medium,” Transp. Porous. Med. 62, 233–249 (2006).

A. Bhattacharya, and R. K. Deka. ”Theoretical Study of Chemical Reaction Effects on Vertical Oscillating Plate Immersed in a Stably Stratified Fluid,” Research Journal of Applied Sciences, Engineering and Technology, 3(9), 887-898 (2011).

A. Shapiro, and E. Fedorovich, ”Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid,” Journal of Fluid Mechanics, 498, 333-352 (2004).

J.S. Park, and J.M. Hyun, ”Technical Note Transient behavior of vertical buoyancy layer in a stratified fluid,” International Journal of Heat and Mass Transfer, 41(24), 4393-4397 (1998),

J.S. Park, ”Transient buoyant flows of a stratified fluid in a vertical channel,” KSME International Journal, 15, 656–664 (2001).

U.N. Das, R. Deka, and V.M. Soundalgekar, ”Effects of Mass Transfer on a Flow past an Impulsively Started Infinite Vertical Plate with Constant Heat Flux and Chemical Reaction,” Forschung im Ingenieurwesen, 60, 284-287 (1995).

F.M.N. El-Fayez, ”Effects of Chemical Reaction on the Unsteady Free Convection Flow past an Infinite Vertical Permeable Moving Plate with Variable Temperature,” Journal of Surface Engineered Materials and Advanced Technology, 2(2), 100-109 (2012).

B.P. Reddy, and J. Peter. ”Effects of Chemical Reaction on MHD Flow Past an Impulsively Started Infinite Vertical Plate with Variable Temperature and Mass Diffusion in the Presence of Hall Current,” Journal of the Serbian Society for Computational Mechanics, 13(1), 92-108 (2019).

M.A. Mansour, N.F. El-Anssary, and A.M. Aly, ”Effects of chemical reaction and thermal stratification on MHD free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers,” Chemical Engineering Journal, 145(2), 340-345 (2008).

R. Kandasamy, K. Periasamy, and K.K.S. Prabhu, ”Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects,” International Journal of Heat and Mass Transfer, 48(21-22), 4557-4561 (2005).

A.M. Megahed, and W. Abbas, ”Non-Newtonian Cross fluid flow through a porous medium with regard to the effect of chemical reaction and thermal stratification phenomenon,” Case Studies in Thermal Engineering, 29, 101715 (2022).

R.B. Hetnarski, ”An algorithm for generating some inverse Laplace transforms of exponential form,” Journal of Applied Mathematics and Physics (ZAMP), 26, 249–253 (1975).

Abramowitz, Milton, I.A. Stegun, and R.H. Romer. ”Handbook of mathematical functions with formulas, graphs, and mathematical tables.” American Journal of Physics, 56(10), 958 (1988).

How to Cite
Nath, R. S., & Deka, R. K. (2023). The Effects of Thermal Stratification on Flow Past an Infinite Vertical Plate in Presence of Chemical Reaction. East European Journal of Physics, (3), 223-232.